Answer
$\frac{23}{24}$
Work Step by Step
The LCM of the original denominators, 3, 4, and 8, is 24. Therefore, we can rewrite the original fractions with a denominator of 24.
$\frac{1}{3}+\frac{3}{8}+\frac{1}{4}=\frac{1\times8}{3\times8}+\frac{3\times3}{8\times3}+\frac{1\times6}{4\times6}=\frac{8}{24}+\frac{9}{24}+\frac{6}{24}=\frac{8+9+6}{24}=\frac{23}{24}$
